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#F0730. Treasure Hunt

    ID: 736 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: (无) 上传者: 标签>待分类整理状态难度待定难度共享题库Codeforces英文题面题目来源题面语言

Treasure Hunt

题目描述

A. Treasure Hunt
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Captain Bill the Hummingbird and his crew recieved an interesting challenge offer. Some stranger gave them a map, potion of teleportation and said that only this potion might help them to reach the treasure.

Bottle with potion has two values x and y written on it. These values define four moves which can be performed using the potion:

Map shows that the position of Captain Bill the Hummingbird is (x1,y1) and the position of the treasure is (x2,y2).

You task is to tell Captain Bill the Hummingbird whether he should accept this challenge or decline. If it is possible for Captain to reach the treasure using the potion then output "YES", otherwise "NO" (without quotes).

The potion can be used infinite amount of times.

Input

The first line contains four integer numbers x1,y1,x2,y2 (-105x1,y1,x2,y2≤105) − positions of Captain Bill the Hummingbird and treasure respectively.

The second line contains two integer numbers x,y (1≤x,y≤105) − values on the potion bottle.

Output

Print "YES" if it is possible for Captain to reach the treasure using the potion, otherwise print "NO" (without quotes).

Examples
Input
0 0 0 6
2 3
Output
YES
Input
1 1 3 6
1 5
Output
NO
Note

In the first example there exists such sequence of moves:

  1. − the first type of move
  2. − the third type of move


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 148 题。保留原作者与原赛事署名。